Grate zucchini using the large holes of a cheese grater and place in a large bowl. Add flour, shallots, garlic, parsley, chives, eggs, cheese, salt and pepper. Season with salt and pepper.
Heat a large skillet over medium heat and pour oil to cover pan. Drop tablespoons of the batter into the skillet. Cook about 2 minutes on each side until golden brown. Set aside and keep warm. Use more oil in the skillet as needed, and continue with remaining batter.